What is the Greatest Common Factor of 57332 and 57343?

Greatest common factor (GCF) of 57332 and 57343 is 11.

GCF(57332,57343) = 11

We will now calculate the prime factors of 57332 and 57343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57332 and 57343.

How to find the GCF of 57332 and 57343?

We will first find the prime factorization of 57332 and 57343. After we will calculate the factors of 57332 and 57343 and find the biggest common factor number .

Step-1: Prime Factorization of 57332

Prime factors of 57332 are 2, 11, 1303. Prime factorization of 57332 in exponential form is:

57332 = 2² × 11¹ × 1303¹

Step-2: Prime Factorization of 57343

Prime factors of 57343 are 11, 13, 401. Prime factorization of 57343 in exponential form is:

57343 = 11¹ × 13¹ × 401¹

Step-3: Factors of 57332

List of positive integer factors of 57332 that divides 57332 without a remainder.

1, 2, 4, 11, 22, 44, 1303, 2606, 5212, 14333, 28666

Step-4: Factors of 57343

List of positive integer factors of 57343 that divides 57332 without a remainder.

1, 11, 13, 143, 401, 4411, 5213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57332 and 57343. The biggest common factor number is the GCF number.
So the greatest common factor 57332 and 57343 is 11.

Also check out the Least Common Multiple of 57332 and 57343